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Finding the Fourth Proportional to 259.96, 358.02 and 207.16

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Solution

The fourth proportional to 259.96, 358.02 and 207.16 is: 285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.96 : 358.02 = 207.16 : x
  2. Step 2: Convert to fraction form
    259.96/358.02 = 207.16/x
  3. Step 3: Cross multiply
    259.96x = 358.02 × 207.16
  4. Step 4: Simplify right side
    259.96x = 74,167.42
  5. Step 5: Solve for x
    x = 74,167.42/259.96
  6. Step 6: Final answer
    x = 285.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.